Question: For $x \in R, f(x)=|\log 2-\sin x|$ and $g(x)=f(f(x))$, then :
$\mathrm{g}$ is differentiable at $\mathrm{x}=0$ and $\mathrm{g}^{\prime}(0)=-\sin (\log 2)$
$\mathrm{g}$ is not differentiable at $\mathrm{x}=0$
$\mathrm{g}^{\prime}(0)=\cos (\log 2)$
$g^{\prime}(0)=-\cos (\log 2)$
Correct Option: , 3
Solution:
